Reach for the Star

Graph transformations pathway · Optional extension

L086 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

Describe transformations from y=x² to y=(x+3)²+2 and state turning point.

Reveal a worked check after attempting

Left 3 and up 2; turning point (−3,2).

Deep challenge

A learner says y=(x−4)² moves left 4. Correct using a point on the original graph.

Reveal a worked check after attempting

It moves right 4; original vertex (0,0) becomes (4,0).

Recall & Review: feedback and extension integration

Lesson L086: Graph transformations pathway

Objective: Interpret changes to graphs at the appropriate tier.

60-minute structure: 0-7 Connect & Check; 7-14 Share; 14-25 Present/model; 25-44 Apply route choice/practice; 44-52 independent exam-style check; 52-60 Recall & Review, WWW/EBI and next step.

What Went Well (WWW)

I read or constructed the graph accurately, used the scale and axes correctly and linked the relevant gradient, intercept, shape or trend to my conclusion.

Even Better If (EBI)

I will label units and scale clearly, show the calculation or graphical evidence I used and check that the interpretation fits the context.

Stretch and deep challenge

Stretch: Describe transformations from y=x² to y=(x+3)²+2 and state turning point.

Deep challenge: A learner says y=(x−4)² moves left 4. Correct using a point on the original graph.